222.6 is what percent of 333.6 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 333.6 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 333.6, so we can write it down as 100%=333.6.
4. We know, that x% equals 222.6 of the output value, so we can write it down as x%=222.6.
5. Now we have two simple equations:
1) 100%=333.6
2) x%=222.6
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=333.6/222.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 222.6 is what percent of 333.6

100%/x%=333.6/222.6
(100/x)*x=(333.6/222.6)*x       - we multiply both sides of the equation by x
100=1.4986522911051*x       - we divide both sides of the equation by (1.4986522911051) to get x
100/1.4986522911051=x
66.726618705036=x
x=66.726618705036

now we have:
222.6 is 66.726618705036% of 333.6